Guided Wave Energy Distribution Analysis in Inhomogeneous Plates

  • Krishnan Balasubramaniam
  • Yuyin Ji


An analysis of guided wave energy propagation in a inhomogeneous multi-layered composite structure is presented. It has earlier been reported that ultrasonic guided wave energy within an inhomogeneous composite materials tend to follow the orientation of the fibers, even when the plane of the incident wave is not along the fiber direction [1–3]. In this paper, an exact analysis of a plane wave incident onto a generally anisotropic, visco-elastic, multi-layered composite structure is use here to study the energy flow behavior of guided ultrasonic waves in inhomogeneous composite plates [4] is used to predict this behavior. The reflected and refracted coefficients are obtained by using the well know Thomson-Haskell transfer matrix method [5] which transfer boundary conditions from one side of a solid medium to the other. Then, the power flow vector is used to study the energy distributions within the plates as well as the generation mechanism of guided waves.


Wave Mode Power Flow Fiber Direction Partial Mode Graphite Epoxy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Sullivan, R., et. al., “ Experimental Imaging of Fiber Orientation in Multi-layered Graphite Epoxy composite structures, “ Review of Progress in Quantitative Nondestructive Evaluation, Vol. 13, (Ed. D. O. Thompson and D. E. Chimenti), Plenum Press, NY, 1994, pp. 1313–1320.Google Scholar
  2. 2.
    Sullivan, R. and Balasubramaniam, K., “ Plate Wave Flow Patterns for Ply Orientation Imaging in Fiber Reinforced Composites,” Submitted to Materials Evaluation, 1994.Google Scholar
  3. 3.
    Sullivan, R., “Ultrasonic Imaging of Ply Orientation in Graphite Epoxy Laminates using Oblique Incidence Techniques,” M.S. Thesis, 1993, Mississippi State University, MS 39762.Google Scholar
  4. 4.
    Balasubramaniam, K. and Ji, Y., “Analysis of the Reflection/Transmission Factor Response from a Generally Anisotropic Visco-elastic Layered Media,” submitted to J. Acoust. Soc. of Am.(1994).Google Scholar
  5. 5.
    Thomson W.T., 1950, “ Transmission of elastic waves through a stratified solid medium”, J. Appl. Phys. 21, pg 89.MathSciNetMATHCrossRefGoogle Scholar
  6. 6.
    Auld, B. A., “Acoustic Fields and Waves in Solids,” (II edition, Vol. 1 and 2), Robert E. Krieger Publishing Company, Malabar, Florida, 1990.Google Scholar
  7. 7.
    M. J. P. Musgrave, “Crystal acoustics” Holden Day, San Francisco, 1970.MATHGoogle Scholar
  8. 8.
    Pilarski, A. and Rose, J.L. “Surface and Plate Waves in Layered Structures.” Materials Evaluation, Vol.46, (1988).Google Scholar
  9. 9.
    Lamb, H. “On Waves in Elastic Plates.” Proc. Royal Soc. London, 93A, (1914).Google Scholar
  10. 10.
    Miklowitz, J. “Elastic Waves and Waveguides.” North-Holland Pub. Co., (1978).Google Scholar
  11. 11.
    Nayfeh, A.H. and Chimenti, D.E. “Propagation of Guided Waves in Fluid-Coupled Plates of Fiber-Reinforced Composite.” J. Acoust. Soc. of Am., Vol. 86(2), (1989).Google Scholar

Copyright information

© Plenum Press, New York 1995

Authors and Affiliations

  • Krishnan Balasubramaniam
    • 1
  • Yuyin Ji
    • 1
  1. 1.Department of Aerospace Engineering and MechanicsMississippi State UniversityMississippi StateUSA

Personalised recommendations